542216565100 has 144 divisors (see below), whose sum is σ = 1373399596800. Its totient is φ = 181975921920.

The previous prime is 542216565097. The next prime is 542216565101. The reversal of 542216565100 is 1565612245.

It is a super-4 number, since 4×542216565100⁴ (a number of 48 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 542216565100.

It is not an unprimeable number, because it can be changed into a prime (542216565101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6290091 + ... + 6375709.

It is an arithmetic number, because the mean of its divisors is an integer number (9537497200).

Almost surely, 2^542216565100 is an apocalyptic number.

542216565100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542216565100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686699798400).

542216565100 is an abundant number, since it is smaller than the sum of its proper divisors (831183031700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

542216565100 is a wasteful number, since it uses less digits than its factorization.

542216565100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85832 (or 85825 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 542216565100 in words is "five hundred forty-two billion, two hundred sixteen million, five hundred sixty-five thousand, one hundred".